名校
解题方法
1 . 已知矩形
,其中
,
,点D沿着对角线
进行翻折,形成三棱锥
,如图所示,则下列说法正确的是__________ (填写序号即可).
①点D在翻折过程中存在
的情况;
②三棱锥
可以四个面都是直角三角形;
③点D在翻折过程中,三棱锥
的表面积不变;
④点D在翻折过程中,三棱锥
的外接球的体积不变.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c586b72a984e1fd9082b9f02ef7f3e91.png)
①点D在翻折过程中存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9aabd9a42a97a1108149fafca8a919.png)
②三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c586b72a984e1fd9082b9f02ef7f3e91.png)
③点D在翻折过程中,三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c586b72a984e1fd9082b9f02ef7f3e91.png)
④点D在翻折过程中,三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c586b72a984e1fd9082b9f02ef7f3e91.png)
您最近一年使用:0次
2024-06-10更新
|
462次组卷
|
2卷引用:黑龙江省2024届高三信息押题卷(四)数学试卷
名校
2 . 关于函数
有下列结论:
(1)函数
存在最小值但没有最大值;
(2)函数
存在两个零点,且两个零点的和小于1;
(3)函数
存在唯一的极小值点
,且
;
(4)函数
存在唯一的极大值点
,且
.
其中正确的是__________ .(填写所有正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2db29e99cb06dfd0d9dbdd3a0d387fd.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caae75ee744fa4662f1dc8fbe3995789.png)
(4)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803d4aab3143f9e43d7a024aab305e9.png)
其中正确的是
您最近一年使用:0次
名校
3 . 《几何原本》中的几何代数法是以几何方法研究代数问题,这种方法是后西方数学家处理问题的重要依据,通过这一原理很多的代数公理或定理都能够通过图形实现证明,也称之为无字证明,现有图形如图所示,
为线段
上的点,且
为
的中点,以
为直径作半圆,过点
作
的垂线交半圆于
,连结
,过点
作
的垂线,垂足为
,若不添加辅助线,则该图形可以完成的所有无字证明为_________ .(填写序号)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/515a8637-30c5-4728-85f4-0240e20f3913.png?resizew=161)
①
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7009eee373cc98ef7c8243901ec83037.png)
③
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ff0b118e5145f94c90c975e1fb74ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20740df2f6ae49f8dc88d2449897f2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/515a8637-30c5-4728-85f4-0240e20f3913.png?resizew=161)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4d4e4d991871f2f35309b1604c9fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7009eee373cc98ef7c8243901ec83037.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8378bcf7139202d78b706b726602caa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39dce2a6f257ad000947a4261da9783.png)
您最近一年使用:0次
2023-02-02更新
|
477次组卷
|
5卷引用:黑龙江省哈尔滨市第九中学校2024届高三上学期开学考试数学试题